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Mathematics 16 Online
OpenStudy (anonymous):

log4096 (256)

OpenStudy (anonymous):

\(\huge log_{4096}(256) \) this the question?

OpenStudy (anonymous):

yes

OpenStudy (turingtest):

\[\log_{2^{12}}(2^8)\]

OpenStudy (anonymous):

notice 4096 = 2^12 and 256 = 2^8

OpenStudy (anonymous):

yes. and? sorry i forgot all my log rules

OpenStudy (anonymous):

writing this in exponential form: \(\large (2^{12})^x=2^8 \)

OpenStudy (anonymous):

ahhh icic so -4?

OpenStudy (anonymous):

no... what do you do to simplify power of a power??? for example, \(\large (3^2)^5=3^{???} \)

OpenStudy (anonymous):

3^10

OpenStudy (anonymous):

right... you multiply the exponents so the equation becomes: \(\large (2^{12})^x=2^{12x} \) \(\large 2^{12x}=2^8 \) 12x = 8

OpenStudy (anonymous):

icic ty so much

OpenStudy (anonymous):

ok???? so x=2/3 ??? that what u got?

OpenStudy (anonymous):

yw.,..:)

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